SOLUTION: You are trying to dunk a basketball. You need to jump 2.5ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)=-16t^2 +12t. W
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-> SOLUTION: You are trying to dunk a basketball. You need to jump 2.5ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)=-16t^2 +12t. W
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Question 1171618: You are trying to dunk a basketball. You need to jump 2.5ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)=-16t^2 +12t. What is the maximum height your feet will be above ground? Will you be able to dunk the basketball? Answer by ikleyn(52775) (Show Source):
It is about finding the maximum of the quadratic function
h(t) = -at^2 + bt + c.
The maximum is reached at t= - .
In your case, a= -16, b= 12.
Therefore, the answer to the problem's question is
t = - = = seconds.
The value of the maximum is
= = 2.25 ft.
ANSWER. The maximum height is 2.25 ft.
